Administer the standardized test and collect the results.
Calculate the average of the test scores "(x)" by adding them all up and dividing the result by the number of test takers "n".
Calculate the standard deviation by subtracting (x) by each individual score "x", then squaring the resulting value. Add up all of these squared values, then divide the result by (n-1) to calculate the standard deviation.
Assume that a test-taker with an average score has an average IQ.
Add the standard deviation to (x) to determine the score of a test-taker in the upper 68th percentile. Subtract the standard deviation from (x) to determine the score of a test-taker in the lower 68th percentile.
Add two standard deviations to (x) to determine the score of a test-taker in the upper 95th percentile. Subtract two standard deviations from (x) to determine the score of a test-taker in the lower 95th percentile.
Add three standard deviations to (x) to determine the score of a test-taker in the upper 99th percentile. Subtract three standard deviations from (x) to determine the score of a test-taker in the lower 99th percentile.